I'm having trouble rotating / moving geometory linked to a wire deformer.

I started with a Cylinder Primitive and a Circle Curve and used a wire to deform it into the shape of a conveyor belt. When I rotate the cylinder geometory it flows nicely around the wire shape. This is the only uncomplicated way I found of animating a conveyor.

But the problem is when I try to move / rotate the entire conveyor object it distorts the geometory.
I attempted various parenting options but it didn't seem to help.
How do I move and rotate the entire conveyor object without distorting it?